That entire section of the EULA present as early as February 28th, 2015 (according to a Google cache result), and has not been updated since then.

With that said, it's highly unlikely that Blizzard would disallow software-assisted multiboxing without giving their playerbase several months of notice. For EVE, CCP announced their one change to multiplexing with plenty of time for everyone to adapt, and there's no reason that Blizzard wouldn't extend the exact same courtesy to their playerbase.

Blizzard is not oblivious to the fact that the vast majority of players who multibox their game(s) use software to do it—they're not going to sneak a new clause into their Terms of Service, and then just start banning people left and right come patch day.